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Mathematics - Probability Question with Solution | TestHub

MathematicsProbabilityMiscellaneous/MixedMedium2 minQB

MathematicsMediuminteger

Passage / Comprehension

Two dice, 1D and 2D, have 4 red and 2 blue faces, and 3 red and 3 blue faces, respectively. A card is drawn from an ordinary pack of 52 playing cards, and a die is rolled. If the card shows a heart or a king, the game continues by throwing die 1D. If the drawn card shows a face card, the game continues with die 2D. If the card shows both a heart and a face card, then both dice are equally likely to be thrown.

Let $p$ be the probability of getting a red face on first throw of dice. The value of $312 p$ is equal to

Question diagram: Let p be the probability of getting a red face on first thro

Answer:

Solution:

$Required probability = \frac{10}{52} \cdot \frac{4}{6} + \frac{6}{52} \cdot \frac{3}{6} + \frac{6}{52} (\frac{1}{2} \cdot \frac{4}{6} + \frac{1}{2} \cdot \frac{3}{6}) = \frac{79}{312}$

Stream:JEESubject:MathematicsTopic:ProbabilitySubtopic:Miscellaneous/Mixed

⏱ 2mℹ️ Source: QB

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